Pith Number

pith:OUCUGFHR

pith:2019:OUCUGFHRDXDACJGOE73NRURIJW

not attested not anchored not stored refs pending

Bijective recurrences concerning two Schr\"oder triangles

Shishuo Fu, Yaling Wang

arxiv:1908.03912 v1 · 2019-08-11 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUCUGFHRDXDACJGOE73NRURIJW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T23:53:19.328852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75054314f11dc60124ce27f6d8d2284db1aff3aef99d6cc39a089b6b530038e1

Aliases

arxiv: 1908.03912 · arxiv_version: 1908.03912v1 · doi: 10.48550/arxiv.1908.03912 · pith_short_12: OUCUGFHRDXDA · pith_short_16: OUCUGFHRDXDACJGO · pith_short_8: OUCUGFHR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OUCUGFHRDXDACJGOE73NRURIJW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 75054314f11dc60124ce27f6d8d2284db1aff3aef99d6cc39a089b6b530038e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4384004a62c17c9ef7e1c8689ca9d36d6116ebc4422903f4dfcfed90addfb61a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-11T14:23:44Z",
    "title_canon_sha256": "0c63a072cca47ba0d81b4c6a4569525b65d79f05dd9a423329f62d13130a718a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03912",
    "kind": "arxiv",
    "version": 1
  }
}